
Here \(\cdot _M\)  denotes the left and right \(A\) -actions on \(M\) . Recently, relative Rota-Baxter operators are cohomologically studied in [1]}.
A relative Rota-Baxter (associative) algebra is a triple \((A, M, R)\)  in which \(A\)  is an associative algebra, \(M\)  is an \(A\) -bimodule, and \(R: M \rightarrow A\)  is a relative Rota-Baxter operator. In the present paper, we denote a relative Rota-Baxter algebra as above by \(M \xrightarrow{} A\) . It follows that any Rota-Baxter algebra \((A,R)\)  can be considered as a relative Rota-Baxter algebra \(A \xrightarrow{} A\) , where \(A\)  is equipped with the adjoint \(A\) -bimodule structure. It has been observed in [2]} that a relative Rota-Baxter algebra \(M \xrightarrow{} A\)  induces a dendriform structure on \(M\) .
